Knot Projections

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A01=Noboru Ito
advanced topology textbook
Age Group_Uncategorized
Age Group_Uncategorized
Author_Noboru Ito
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Box Rule
Category1=Non-Fiction
Category=PB
Category=PBM
Chord Diagram
Classification Theorem
Connected Sum
COP=United States
Counterclockwise
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Double Point
eq_isMigrated=2
eq_nobargain
Finite Sequence
Induction Assumption
invariants in mathematics
knot classification problems
knot theory
Language_English
mathematical visualization
Nonnegative Integer
Nth Case
PA=Available
Plane Curve
Plane Curves
Price_€100 and above
PS=Active
Regular Homotopy
Reidemeister Moves
Reidemeister torsion
research in knot projection theory
RII
Rotation Number
Seifert Circle
Simple Arcs
Simple Closed Curve
singularity theory
Smooth
Smooth Plane Curves
softlaunch
topological graph theory
Topological Invariant
topological invariants
Trefoil
Trivial Knot
Unavoidable Set

Product details

  • ISBN 9781498736756
  • Weight: 456g
  • Dimensions: 156 x 234mm
  • Publication Date: 01 Dec 2016
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired by Arnold’s theory of plane curves, Viro’s quantization of the Arnold invariant, and Vassiliev’s theory of knots, among others. The presentation exploits the intuitiveness of knot projections to introduce the material to an audience without a prior background in topology, making the book suitable as a useful alternative to standard textbooks on the subject. However, the main aim is to serve as an introduction to an active research subject, and includes many open questions.

Noboru Ito is currently a project researcher at the University of Tokyo, Japan. He was previously an assistant professor and associate professor of Mathematics at the Waseda Institute for Advanced Study, in Tokyo, Japan.

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